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Katyanochek1 [597]
3 years ago
6

Brandon and his children went into a bakery and where they sell donuts for $1.25 each and cookies for $0.25 each brandon has $5.

50 to spend and must buy a minimum of 10 donuts and cookies all together if brandon decides to buy 2 cookies determine the max number of donuts that he could by​
Mathematics
1 answer:
zvonat [6]3 years ago
5 0

Answer

4 doughnuts

Step-by-step explanation:

.25 times 2 is .5

5.5-.5=5

5/1.25=4

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Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water (Q), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

Q = \dot Q \cdot \Delta t (1)

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Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)

Q = 32160\,ft^{3}

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

Q = \frac{\pi}{4}\cdot D^{2}\cdot h (2)

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h - Height, measured in feet.

If we know that Q = 32160\,ft^{3} and h = 12\,ft, then the minimum diameter is:

D^{2} = \frac{4\cdot Q}{\pi\cdot h}

D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }

D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }

D \approx 58.415\,ft

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